Dominant Height-Diameter Models for Mixed Quercus Forest Based on Dummy Variable

doi:10.13466/j.cnki.lyzygl.2017.04.005

Abstract

Abstract:

13 representative height-diameter models were used to simulate correlation of dominant height-diameter in natural Quercus mixed forests.Models with high goodness-of-fit were selected as the foundational model for building dominant height-diameter model with stand types and site types dummy variable.Results showed that mean dominant height models fitted better than maximum dominant height model,the dummy-variable-included models had higher goodness of fit than the foundational models.Stand type and site type dummy variable with mean dominant height had the same formula: $ H=1.3+\sum_{i=1}^{n} a_{i} \times Z_{i} \times D_{g} /(D_{g}+1)+b \times D_{g}$ and the site type dummy variable model (R²=0.9775) fitted better than forest type dummy variable model (R²=0.711 9).It was able to improve the applicability and accuracy of dominant height-diameter models for mixed Quercus forest based on dummy variable,which provided support and reference for establishing regional generalized bio-math models and amending site quality assessment of mixed Quercus forests in area coverage.

Key words: mixed Quercus forest, dominant tree, height-diameter models, dummy variable

CLC Number:

ZHU Guangyu, LUO Xiaolang. Dominant Height-Diameter Models for Mixed Quercus Forest Based on Dummy Variable[J]. FOREST RESOURCES WANAGEMENT, 2017, (4): 22-29.

Figures/Tables 11

Tab.1

Tab.2

Tab.3

Models of height-diameter based function

模型	表达式
M1	$H = 1.3 + a D g b$
M2	$H = 1.3 + a (1 - e - b D g)$
M3	$H = 1.3 + D g 2 / (a + b D g) 2$
M4	$H = 1.3 + a e b / D g$
M5	$H = 1.3 + a D g D g + 1 + b D g$
M6	$H = 1.3 + a {D g / (D g + 1)} b$
M7	$H = 1.3 + a (1 - e - b D g) c$
M8	$H = 1.3 + D g 2 / (a + b D g + c D g 2)$
M9	$H = 1.3 + a D g e - b D g$
M10	$H = 1.3 + a D g b e - c D g$
M11	$H = 1.3 + a D g + b D g 2$
M12	$H = 1.3 + a e b D g + c$
M13	$H = 1.3 + 10 a D g b$

Tab.3

Tab.4

Tab.5

Tab.6

Tab.7

Tab.8

Tab.9

Fig.1

Fig.2

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因子	海拔/m	株数	土层厚度/cm	平均优势木		最高优势木
因子	海拔/m	株数	土层厚度/cm	树高/m	胸径/cm	树高/m	胸径/cm
平均值	806	76	72	15.2	24.9	17.5	32.5
最大值	1638	261	95	22.3	50.1	26.5	70.0
最小值	80	30	43	9.6	8.9	10.6	11.5
标准差	541	57	13	3.0	9.6	3.4	12.7

样地	优势树种(组)DSC	林分类型	哑变量Z_i
芦头	锥栗、甜槠	锥栗-甜槠混交林	1
八大公山	亮叶水青冈	亮叶水青冈混交林	2
龙虎山	石栎	石栎混交林	3
五盖山	甜槠、枹栎	甜槠-枹栎混交林	4
青羊湖	青冈栎	青冈栎混交林	5

模型	平均优势木			最高优势木
模型	R²	RMSE	P/%	R²	RMSE	P/%
M1	0.332	2.57	95.21	0.229	3.03	95.07
M2	0.238	3.21	94.23	0.161	3.94	93.46
M3	0.272	2.92	94.82	0.196	3.76	93.87
M4	0.343	2.56	95.23	0.233	3.02	95.08
M5	0.376	2.50	95.31	0.238	2.98	95.14
M6	0.263	3.07	94.67	0.193	3.81	93.68
M7	0.332	2.57	95.22	0.229	3.03	95.01
M8	0.365	2.53	95.22	0.235	3.02	95.04
M9	0.172	3.85	93.67	0.032	4.05	92.37
M10	0.372	2.54	95.21	0.236	3.01	95.05
M11	0.071	4.13	91.13	0.162	3.91	93.47
M12	0.259	3.14	94.56	0.191	3.87	93.63
M13	0.332	2.57	95.21	0.229	3.03	95.07

参数	平均优势木				最高优势木
参数	R²	AIC	RMSE	MPE/%	R²	AIC	RMSE	MPE/%
a	0.7119	209.64	1.64	96.91	0.5549	240.93	2.30	96.21
b	0.6997	236.75	1.68	96.84	0.5212	271.43	2.39	96.07

立地类型编号	数量	立地类型编号	数量
1	10	5	4
2	3	6	12
3	8	7	3
4	8	8	3